Question

Find the range of the following function f of X equal |x-4|\x-4​

Answer 1

Step-by-step explanation:

0 to infinity

|x-4| will always be positive and so denomitar should also be in positive

Answer 2

Step-by-step explanation:

"A relation f from a set A to a set B is said to be a function if every element of set A has one and only one image in set B. In other words, a function f is a relation such that no two pairs in the relation has the same first element."

We are given,

f(x) = |x - 4|/(x - 4)

y = |x - 4|/(x - 4)

In a fraction, if the denominator becomes 0, then it becomes undefined

So, If x - 4 = 0

x = 4 then, it doesnt have an image in y

We know that,

If x doesn't have an image in y then they can't be a function

So, the Range consists of all Real numbers except 4 when the Domain consist of Real numbers

Range = R - {4}

which represents the Range that consists of the set of all the Real numbers except 4

Hope it helped and you understood it........All the best